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20123131311 = 3289223112657
BaseRepresentation
bin10010101111011011…
…101001110110101111
31220221102012222122200
4102233123221312233
5312203010200221
613124444312543
71311445536213
oct225733516657
956842188580
1020123131311
118596a8a438
123a97242753
131b89059bba
14d8c7b8943
157cb98e426
hex4af6e9daf

20123131311 has 24 divisors (see below), whose sum is σ = 29525408640. Its totient is φ = 13205085696.

The previous prime is 20123131289. The next prime is 20123131367. The reversal of 20123131311 is 11313132102.

20123131311 is a `hidden beast` number, since 201 + 23 + 131 + 311 = 666.

It is not a de Polignac number, because 20123131311 - 25 = 20123131279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123131381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122295 + ... + 234951.

It is an arithmetic number, because the mean of its divisors is an integer number (1230225360).

Almost surely, 220123131311 is an apocalyptic number.

20123131311 is a deficient number, since it is larger than the sum of its proper divisors (9402277329).

20123131311 is a wasteful number, since it uses less digits than its factorization.

20123131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112975 (or 112972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20123131311 its reverse (11313132102), we get a palindrome (31436263413).

The spelling of 20123131311 in words is "twenty billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 89 223 267 669 801 2007 19847 59541 112657 178623 337971 1013913 10026473 25122511 30079419 75367533 90238257 226102599 2235903479 6707710437 20123131311